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Tunneling conductance of an Aharonov-Bohm circuit including two quantum dots is calculated based on the general expression of the conductance in the linear response regime of the bias voltage. The calculation is performed in a wide…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Wataru Izumida , Osamu Sakai , Yukihiro Shimizu

Ring geometries have fascinated experimental and theoretical physicists over many years. Open rings connected to leads allow the observation of the Aharonov-Bohm effect, a paradigm of quantum mechanical phase coherence. The phase coherence…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Fuhrer , S. Luescher , T. Ihn , T. Heinzel , K. Ensslin , W. Wegscheider , M. Bichler

The Aharonov-Bohm (AB) effect is an important discovery of quantum theory. It serves as a surprising quantum phenomenon in which an electrically charged particle can be affected by an electromagnetic potential, despite being confined to a…

Quantum Physics · Physics 2023-11-10 Jing-Ling Chen , Xing-Yan Fan , Xiang-Ru Xie

With an atomic force microscope a ring geometry with self-aligned in-plane gates was directly written into a GaAs/AlGaAs-heterostructure. Transport measurements in the open regime show only one transmitting mode and Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. F. Keyser , S. Borck , R. J. Haug , W. Wegscheider , M. Bichler , G. Abstreiter

Electron transport through mesoscopic, one-dimensional rings with asymmetric injection into the arms of the ring is studied, in the presence of a Aharonov-Bohm flux, by means of an appropriate $\boldsymbol{S}$ matrix. This matrix is…

Mesoscale and Nanoscale Physics · Physics 2015-11-23 P. Vasilopoulos , O. Kálmán , F. M. Peeters , M. G. Benedict

We investigate the Aharonov-Bohm (AB) effect for the double quantum dots in the Kondo regime using the slave-boson mean-field approximation. In contrast to the non-interacting case, where the AB oscillation generally has the period of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Tanaka , Norio Kawakami

It is commonly believed that the Aharonov-Bohm (AB) effect is a typical feature of the motion of a charged particle interacting with the electromagnetic vector potential. Here we present a magnetophotoluminescence study of type-II InP/GaAs…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Ribeiro , G. Medeiros-Ribeiro , W. Carvalho , A. O. Govorov

Aharonov-Bohm effect is a quantum mechanical phenomenon that attracted the attention of many physicists and mathematicians since the publication of the seminal paper of Aharonov and Bohm [1] in 1959. We consider different types of…

Mathematical Physics · Physics 2015-06-24 Gregory Eskin

Few-electron eigenstates confined in coupled concentric double quantum rings are studied by the exact diagonalization technique. We show that the magnetic field suppresses the tunnel coupling between the rings localizing the single-electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Szafran , F. M. Peeters

We study the Kondo effect in a model system of a quantum dot embedded in an Aharanov-Bohm ring connected to two leads. By transforming to the scattering basis of the direct inter-lead tunneling, we are able to describe precisely how the…

Mesoscale and Nanoscale Physics · Physics 2010-10-15 Justin Malecki , Ian Affleck

We determine the energy spectrum and the corresponding eigenfunctions of a 2D Dirac oscillator in the presence of Aharonov-Bohm (AB) effect . It is shown that the energy spectrum depends on the spin of particle and the AB magnetic flux…

Quantum Physics · Physics 2008-01-31 N. Ferkous , A. Bounames

We investigate the effect of electron-electron interactions on Aharonov-Bohm (AB) current oscillations in nanorings formed by a chain of metallic quantum dots. We demonstrate that electron-electron interactions cause electron dephasing…

Mesoscale and Nanoscale Physics · Physics 2010-02-16 Andrew G. Semenov , Andrei D. Zaikin

A single-mode microcavity with an embedded Aharonov-Bohm quantum ring, which is pierced by a magnetic flux and subjected to a lateral electric field, is studied theoretically. It is shown that external electric and magnetic fields provide…

Mesoscale and Nanoscale Physics · Physics 2014-09-02 A. M. Alexeev , I. A. Shelykh , M. E. Portnoi

Quantum interference in Aharonov-Bohm (AB) ring structure provides additional control of spin at mesoscopic scale. We propose a scheme for spin filter by studying the coherent transport through the AB structure with lateral magnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. W. Wu , J. Zhou , Q. W. Shi

We investigate the behavior of the quantized Hall conductivity in a two-dimensional quantum system under rotating effects, a uniform magnetic field, and an Aharonov-Bohm (AB) flux tube. By varying the angular velocity and the AB flux, we…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Carlos Magno O. Pereira , Luís Fernando C. Pereira , Denise Assafrão , Edilberto O. Silva

The Kondo effect is investigated in a many-electron quantum ring as a function of magnetic field. For fields applied perpendicular to the plane of the ring a modulation of the Kondo effect with the Aharonov-Bohm period is observed. This…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Fuhrer , T. Ihn , K. Ensslin , W. Wegscheider , M. Bichler

In this work, we investigate how both rotation and a Coulomb potential affect the quantum mechanical description of a spin-$1/2$ particle in the presence of the Aharonov-Bohm effect. We employ the method of the self-adjoint extensions in…

Quantum Physics · Physics 2023-02-09 Márcio M. Cunha , Fabiano M. Andrade , Edilberto O. Silva

We have investigated the Aharonov-Bohm effect in a one-dimensional GaAs/GaAlAs ring at low magnetic fields. The oscillatory magnetoconductance of these systems are for the first time systematically studied as a function of density. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Pedersen , A. E. Hansen , A. Kristensen , C. B. Soerensen , P. E. Lindelof

We report a comprehensive discussion of quantum interference effects due to the finite structure of excitons in quantum rings and their first experimental corroboration observed in the optical recombinations. Anomalous features that appear…

We define two laterally gated small quantum dots (~ 15 electrons) in an Aharonov-Bohm geometry in which the coupling between the two dots can be broadly changed. For weakly coupled quantum dots we find Aharonov-Bohm oscillations. In an…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. W. Holleitner , C. R. Decker , K. Eberl , R. H. Blick